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Finding the Fourth Proportional to 362.06, 499.60 and 204.67

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Solution

The fourth proportional to 362.06, 499.60 and 204.67 is: 282.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.06 : 499.60 = 204.67 : x
  2. Step 2: Convert to fraction form
    362.06/499.60 = 204.67/x
  3. Step 3: Cross multiply
    362.06x = 499.60 × 204.67
  4. Step 4: Simplify right side
    362.06x = 102,253.13
  5. Step 5: Solve for x
    x = 102,253.13/362.06
  6. Step 6: Final answer
    x = 282.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.